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DSAT Geometry and Trigonometry Flashcards

6 cards from real DSAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 DSAT Geometry and Trigonometry flashcards as text

  1. A cone has a radius of 3 and a height of 4. What is the volume of the cone?

    Answer: 12π

    Volume of a cone = (1/3)πr²h = (1/3) × π × 9 × 4 = 12π.

  2. Two similar triangles have corresponding sides in a ratio of 3:5. If the area of the smaller triangle is 27, what is the area of the larger triangle?

    Answer: 75

    The ratio of areas of similar figures equals the square of the ratio of corresponding sides: (3/5)² = 9/25, so area = 27 × (25/9) = 75.

  3. In the coordinate plane, what is the distance between points (1, 2) and (5, 5)?

    Answer: 5

    Distance = √[(5−1)² + (5−2)²] = √[16 + 9] = √25 = 5.

  4. An arc of a circle subtends a central angle of 60° and has a radius of 6. What is the arc length?

    Answer: 2π

    Arc length = (θ/360) × 2πr = (60/360) × 2π(6) = (1/6) × 12π = 2π.

  5. If the surface area of a cube is 96 square units, what is the length of one side?

    Answer: 4

    Surface area of a cube = 6s², so 96 = 6s², s² = 16, s = 4.

  6. In a right triangle, if one acute angle measures 37°, what is the measure of the other acute angle?

    Answer: 53°

    The three angles of a triangle sum to 180°; with 90° + 37° + x = 180°, x = 53°.